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Topics in the Theory of Group Presentations

1980-07-31 Mathematics
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Release : 1980-07-31
Genre : Mathematics
Kind : eBook
Book Rating : 086/5 ( reviews)

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Book Synopsis Topics in the Theory of Group Presentations by : D. L. Johnson

Download or read book Topics in the Theory of Group Presentations written by D. L. Johnson. This book was released on 1980-07-31. Available in PDF, EPUB and Kindle. Book excerpt: These notes comprise an introduction to combinatorial group theory and represent an extensive revision of the author's earlier book in this series, which arose from lectures to final-year undergraduates and first-year graduates at the University of Nottingham. Many new examples and exercises have been added and the treatment of a number of topics has been improved and expanded. In addition, there are new chapters on the triangle groups, small cancellation theory and groups from topology. The connections between the theory of group presentations and other areas of mathematics are emphasized throughout. The book can be used as a text for beginning research students and, for specialists in other fields, serves as an introduction both to the subject and to more advanced treatises.

Topics in the Theory of Groups Presentations

1980
Download Topics in the Theory of Groups Presentations PDF Online Free

Author :
Release : 1980
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Topics in the Theory of Groups Presentations by : D. L. Johnson

Download or read book Topics in the Theory of Groups Presentations written by D. L. Johnson. This book was released on 1980. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Combinatorial Group Theory

1993-09-01 Mathematics
Download Topics in Combinatorial Group Theory PDF Online Free

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Release : 1993-09-01
Genre : Mathematics
Kind : eBook
Book Rating : 211/5 ( reviews)

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Book Synopsis Topics in Combinatorial Group Theory by : Gilbert Baumslag

Download or read book Topics in Combinatorial Group Theory written by Gilbert Baumslag. This book was released on 1993-09-01. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial group theory is a loosely defined subject, with close connections to topology and logic. With surprising frequency, problems in a wide variety of disciplines, including differential equations, automorphic functions and geometry, have been distilled into explicit questions about groups, typically of the following kind: Are the groups in a given class finite (e.g., the Burnside problem)? Finitely generated? Finitely presented? What are the conjugates of a given element in a given group? What are the subgroups of that group? Is there an algorithm for deciding for every pair of groups in a given class whether they are isomorphic or not? The objective of combinatorial group theory is the systematic development of algebraic techniques to settle such questions. In view of the scope of the subject and the extraordinary variety of groups involved, it is not surprising that no really general theory exists. These notes, bridging the very beginning of the theory to new results and developments, are devoted to a number of topics in combinatorial group theory and serve as an introduction to the subject on the graduate level.

Topics in Group Theory

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 617/5 ( reviews)

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Book Synopsis Topics in Group Theory by : Geoff Smith

Download or read book Topics in Group Theory written by Geoff Smith. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The theory of groups is simultaneously a branch of abstract algebra and the study of symmetry. Designed for readers approaching the subject for the first time, this book reviews all the essentials. It recaps the basic definitions and results, including Lagranges Theorem, the isomorphism theorems and group actions. Later chapters include material on chain conditions and finiteness conditions, free groups and the theory of presentations. In addition, a novel chapter of "entertainments" demonstrates an assortment of results that can be achieved with the theoretical machinery.

Topics in the Theory of Group Presentations

1980-07-31 Mathematics
Download Topics in the Theory of Group Presentations PDF Online Free

Author :
Release : 1980-07-31
Genre : Mathematics
Kind : eBook
Book Rating : 084/5 ( reviews)

GET EBOOK


Book Synopsis Topics in the Theory of Group Presentations by : D. L. Johnson

Download or read book Topics in the Theory of Group Presentations written by D. L. Johnson. This book was released on 1980-07-31. Available in PDF, EPUB and Kindle. Book excerpt: These notes comprise an introduction to combinatorial group theory and represent an extensive revision of the author's earlier book in this series, which arose from lectures to final-year undergraduates and first-year graduates at the University of Nottingham. Many new examples and exercises have been added and the treatment of a number of topics has been improved and expanded. In addition, there are new chapters on the triangle groups, small cancellation theory and groups from topology. The connections between the theory of group presentations and other areas of mathematics are emphasized throughout. The book can be used as a text for beginning research students and, for specialists in other fields, serves as an introduction both to the subject and to more advanced treatises.

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